4977 has 12 divisors (see below), whose sum is σ = 8320. Its totient is φ = 2808.

The previous prime is 4973. The next prime is 4987. The reversal of 4977 is 7794.

4977 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 4977 - 2² = 4973 is a prime.

It is a Duffinian number.

4977 is a modest number, since divided by 77 gives 49 as remainder.

4977 is a lucky number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4977.

It is not an unprimeable number, because it can be changed into a prime (4973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24 + ... + 102.

It is an amenable number.

4977 is a deficient number, since it is larger than the sum of its proper divisors (3343).

4977 is a wasteful number, since it uses less digits than its factorization.

4977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 4977 is about 70.5478560978. The cubic root of 4977 is about 17.0734995291.

Subtracting from 4977 its sum of digits (27), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 49 and 77, that multiplied together give a palindrome (3773).

The spelling of 4977 in words is "four thousand, nine hundred seventy-seven".